4024/11 Oct/Nov 2021, Question 18: Finding Regions from Multiple Inequalities
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
On a grid with x from 0 to 6 and y from 0 to 6, identify and label the region R satisfying 1 ≤ x ≤ 5, 0 ≤ y ≤ 4 and y ≥ 3 − x.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Draw the vertical lines x = 1 and x = 5
- 2Draw the horizontal line y = 4 (y = 0 is the x-axis)
- 3Draw y = 3 − x through (0, 3) and (3, 0)
- 4R is the region between x = 1 and x = 5, below y = 4, above the x-axis and above y = 3 − x: label it R
AnswerLines x = 1, x = 5, y = 4 and y = 3 − x drawn; region R (1 ≤ x ≤ 5, 0 ≤ y ≤ 4, above y = 3 − x) labelled R
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Also searched as: 4024/11/O/N/21 · 4024_w21_qp_11 · 4024 w21 11 · question 18.
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